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KLT of radio signals from relativistic spaceships in arbitrary motion

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Mathematical SETI

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Abstract

In three papers [1–3] the present author applied the concept of time-rescaled Brownian motion to aspects of relativistic interstellar flight ranging from communication theory to genetics. The content of the present chapter was fully published in paper form in [11].

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References

  1. C. Maccone, “Relativistic Interstellar Flight and Gaussian Noise,” Acta Astronautica, 17(9) (1988), 1019–1027.

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  2. C. Maccone, “Relativistic Interstellar Flight and Instantaneous Noise Energy,” Acta Astronautica, 21(3) (1990), 155–159.

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  3. C. Maccone, “Relativistic Interstellar Flight and Genetics,” Journal of the British Interplanetary Society, 43 (1990), 569–572.

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  4. E. Mallove, and G. Matloff, The Starflight Handbook: A Pioneer’s Guide to Interstellar Travel, Wiley, New York, 1989.

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  5. D. Goldsmith, The Quest for Extraterrestrial Life: A Book of Readings, University Science Books, Mill Valley, CA, 1980.

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  6. C. Maccone, “Eigenfunctions and Energy for Time-Rescaled Gaussian Processes,” Bollettino dell’Unione Matematica Italiana, Series 6, 3-A (1984), 213–219.

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  7. C. Maccone, “The Karhunen–Loève Expansion of the Zero-Mean Square Process of a Time-Rescaled Gaussian Process,” Bollettino dell’Unione Matematica Italiana, Series 7, 2-A (1988), 221–229.

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  8. C. Maccone, “Special Relativity and the Karhunen–Loève Expansion of Brownian Motion,” Il Nuovo Cimento, Series B, 100 (1987), 329–341.

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  9. C. Maccone, “The Time-Rescaled Brownian Motion B(t 2H),” Bollettino dell’Unione Matematica Italiana, Series 6, 4-C (1985), 363–378.

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  10. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953.

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  11. C. Maccone, “Relativistic Interstellar Flight Communication Theorems,” Acta Astronautica, 26(2) (1992), 105–117.

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Correspondence to Claudio Maccone .

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Maccone, C. (2012). KLT of radio signals from relativistic spaceships in arbitrary motion. In: Mathematical SETI. Springer Praxis Books(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27437-4_20

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  • DOI: https://doi.org/10.1007/978-3-642-27437-4_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27436-7

  • Online ISBN: 978-3-642-27437-4

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